Fall 2023 - MACM 316 D100
Numerical Analysis I (3)
Class Number: 2181
Delivery Method: In Person
Course Times + Location:
Sep 6 – Dec 5, 2023: Mon, Wed, Fri, 12:30–1:20 p.m.
Oct 10, 2023: Tue, 12:30–1:20 p.m.
Exam Times + Location:
Dec 11, 2023
Mon, 8:30–11:30 a.m.
Prerequisites:MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience.
A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Quantitative.
1. Number systems and errors [1.5 weeks]
o Floating point representation, error propagation, error estimation.
2. Solution of nonlinear equations [2 weeks]
o Bisection, secant method, Newton's method, fixed-point iteration.
3. Systems of linear equations [3 weeks]
o Gaussian elimination (factorization, pivoting, inverse calculation), iterative methods, eigenvalue problems.
4. Interpolation and approximation [2 weeks]
o Interpolating polynomials (Lagrange form, error formula), spline interpolation, least-squares fitting.
5. Differentiation and integration [1.5 weeks]
o Finite difference approximations of derivatives (error analysis, Richardson extrapolation), quadrature rules for numerical integration.
6. Initial value problems for ODEs [2 weeks]
o Euler's method, Taylor and Runge-Kutta methods, convergence, stability.
- Quizzes (weekly) 15%
- Computing Assignments (bi-weekly) 25%
- I-Clicker Questions 5%
- Midterm 15%
- Final Exam 40%
Mondays from 2:30 PM to 5:30 PM and
Fridays from 2:30 PM to 5:30 PM
in WMC 2820 [math west]. Please plan accordingly.
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Passing grade requires passing exams and computing requirement.
MATERIALS + SUPPLIES:
I-Clicker questions will be conducted via I-Clicker app. This will require app purchase. Details in class.
Burden and Faires
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
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Students with a faith background who may need accommodations during the semester are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.